This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A212149 #8 Feb 12 2014 21:07:12 %S A212149 0,0,0,1,4,13,34,82,185,403,853,1777,3656,7465,15156,30659,61850, %T A212149 124548,250456,503158 %N A212149 Number of k-element subsets S of {1,...,n} such that mean(S)<median(S). %C A212149 Also the number of k-element subsets S of {1,...,n} such that mean(S)>median(S). A212149(n) = A212140(n)/2. %t A212149 t[n_, k_] := t[n, k] = Count[Map[Median[#] == Mean[#] &, Subsets[Range[n], {k}]], False] %t A212149 Flatten[Table[t[n, k], {n, 1, 12}, {k, 1, n}]] %t A212149 TableForm[Table[t[n, k], {n, 1, 12}, {k, 1, n}]] %t A212149 s[n_] := Sum[t[n, k], {k, 1, n}] %t A212149 Table[s[n], {n, 1, 20}] (* A212140 *) %t A212149 %/2 (* A212149 *) %t A212149 (* _Peter J. C. Moses_, May 01 2012 *) %Y A212149 Cf. A212139, A212140. %K A212149 nonn %O A212149 1,5 %A A212149 _Clark Kimberling_, May 06 2012